Course Title: Calculus 3
Course Code: 203MATH-3
Program: Bachelor of Science in Mathematics
Department: Mathematics
College: Science
Institution: King Khalid University
Version: Course Specification Version Number
Last Revision Date: 3 September 2023
Table of Contents
A. General information about the course: ................................................................ 3
B. Course Learning Outcomes (CLOs), Teaching Strategies and Assessment
Methods .................................................................................................................... 4
C. Course Content ...................................................................................................... 5
D. Students Assessment Activities ............................................................................ 6
E. Learning Resources and Facilities .......................................................................... 6
F. Assessment of Course Quality ............................................................................... 6
G. Specification Approval .......................................................................................... 7
2
A. General information about the course:
1. Course Identification
1. Credit hours: (3)
2. Course type
A. ☐University ☐ College ☒ Department ☐Track ☐Others
B. ☒ Required ☐Elective
3. Level/year at which this course is offered: (5nd level/3st year)
4. Course general Description:
This Course study in the first part the Sequences; convergence of sequences; sandwich theorem, absolute
convergence; Series; geometric series and p-series; convergence tests for positive term series (integral test, nth
term test, comparison test, limit comparison test, ratio test, root test). Alternating series and absolute
convergence; Power series (convergence radius and convergence interval), Power series representation of
functions; McLaurin and Taylor series. In the second part, this course study functions of several variables
and precisely: Limits and the two-path rule. Continuity. Differentiation and partial differentiation. Implicit
differentiation for functions of two and three variables and chain rule. Extrema (local minima and maxima
and saddle points). Tangent planes and normal lines. Double and triple integrals and their applications.
5. Pre-requirements for this course (if any):
202MATH-3
6. Pre-requirements for this course (if any):
None
7. Course Main Objective(s):
Introduce students to the basics of calculus.
2. Teaching mode (mark all that apply)
No Mode of Instruction Contact Hours Percentage
1 Traditional classroom 2 66
2 E-learning -- --
Hybrid
3 • Traditional classroom 1 34
• E-learning
4 Distance learning -- --
3. Contact Hours (based on the academic semester)
No Activity Contact Hours
1. Lectures 48
2. Laboratory/Studio --
3. Field --
4. Tutorial --
3
5. Others (specify) --
Total 48
B. Course Learning Outcomes (CLOs), Teaching Strategies and Assessment
Methods
Code of
CLOs
Teaching
Code Course Learning Outcomes aligned Assessment Methods
Strategies
with
program
1.0 Knowledge and understanding
Classify the difference between Lectures, up
1.1 K1
sequences and series of numbers. to date
Description of the convergence of textbooks,
1.2 sequences and the convergence of K2 handouts, Exams, tutorials,
series. develop skills supervision,
in using library presentations, essays,
Understand the difference between all
1.3 K3 and other feedback on written
the tests of convergence for series.
learning work and homework.
Outline the functions of several
resources, use
1.4 variables and their properties. K4 of the
Internet.
2.0 Skills
use limits for testing convergence S1
2.1 Lectures;
sequences.
Practical
Analyze and Compute limits for a S2
2.2 sessions;
convergence series of positive terms. Discussion
Choose and use different tests to study S3 during lectures
Homework; Quizzes;
some example of series. Analyze and and practical
2.3 Midterm and final exams
calculate the extrema of functions and sessions;
their saddle points. Self-learning
Analyze the topological properties of S4 through
homework
2.4 reels functions of several variables.
Differentiate between sequences, S5
2.5
series, and power series
Able to move from function to its power series and vice versa S6
Communicate effectively.
2.6
Use e-learning to fill gaps in the course knowledge.
Work effectively, both independently and as part of a group
3.0 Values, autonomy, and responsibility
Adhere to ethical values and V1 Feedback, Critical assessment,
3.1
excellence in professional practices. experiential peer assessment, self-
3.2 Able to articulate awareness of and V2 learning, assessments.
4
Code of
CLOs
Teaching
Code Course Learning Outcomes aligned Assessment Methods
Strategies
with
program
demonstrate personal learning logs,
characteristics and critical thinking structured
that positively impact the learning experiences
process. in groups,
Take full responsibility for initiating, V3 self-
3.3 identifying, amending, and assessments,
achieving aims. profiling.
C. Course Content
No List of Topics Contact Hours
• A general review of knowledge learned in 101Math
1. • Derivation and its rules 6
• Functions studies and drawing their curves
• Anti-derivative
• Integration and differential equations
2. • Definite and indefinite integration 12
• Relation between area and integration, intermediate theory,
variables change
• Area bounded by a set of curves
• Types of areas: the area of type Rx and type
3. • Rotational volumes 9
• Arc length
• Surface area of rotational volume
• Differentiated function, immersive and congruence.
• Inverse function
4. • Logarithmic function 12
• Exponential function
• Inverse trigonometric functions
• Hyperbolic functions, inverse hyperbolic functions
• Integration by parts
5. • Integration using trigonometric compensation. 9
• Integration of fraction function.
Total 48
5
D. Students Assessment Activities
Assessment
Percentage of Total
No Assessment Activities * timing
Assessment Score
(in week no)
Practical applications (solutions exercises), Weekly 30
1.
quizzes, and homework.
2. Midterm exam 9-10 30
3. Final exam 18-19 40
*Assessment Activities (i.e., Written test, oral test, oral presentation, group project, essay, etc.).
E. Learning Resources and Facilities
1. References and Learning Resources
E. W. Swokowski, M. Olinick, D. Pence & J. A. Cole, “Calculus”, PWS
Essential References
Publishing Company, Boston. 1994
R. A. Hunt, Calculus with Analytic Geometry. Harper and Row
Supportive References
Publisher, 1988
Websites on the internet that are relevant to the topics of the
Electronic Materials course.
E-learning lms.kku.edu.sa
Any book on the topics of the course available at the Central
Other Learning Materials
Library.
2. Required Facilities and equipment
Items Resources
facilities Lecture room for 25 students
(Classrooms, laboratories, exhibition rooms,
simulation rooms, etc.)
Data show device, Video Conference system
Technology equipment and Smart boards.
(projector, smart board, software) Computers loaded with modern software and
connected to internet.
Other equipment Not Applicable
(depending on the nature of the specialty)
F. Assessment of Course Quality
Assessment Areas/Issues Assessor Assessment Methods
Students/Program
Effectiveness of teaching Surveys& Interviews
Coordinator/Faculty/HoD
6
Assessment Areas/Issues Assessor Assessment Methods
Effectiveness of Students/Program
Surveys& Interviews
Students assessment Coordinator/Faculty/HoD
Quality of learning resources Students and Faculty Surveys& Interviews
The extent to which CLOs have Course coordinator/Q&D
CLOs assessment form
been achieved committee
Assessors (Students, Faculty, Program Leaders, Peer Reviewer, Others (specify)
Assessment Methods (Direct, Indirect)
G. Specification Approval
COUNCIL /COMMITTEE
REFERENCE NO.
DATE
